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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 4, Pages 723–736
DOI: https://doi.org/10.1070/IM1969v003n04ABEH000799
(Mi im2181)
 

This article is cited in 4 scientific papers (total in 4 papers)

Stably solvable groups

D. I. Zaitsev
References:
Abstract: It is proved that in the class of radical groups containing solvable subgroups of some class s, the descending chain condition for subgroups is equivalent to the descending chain condition for solvable subgroups of class s.
Received: 29.03.1968
Bibliographic databases:
UDC: 519.4
MSC: 20F16, 20F22, 20K27
Language: English
Original paper language: Russian
Citation: D. I. Zaitsev, “Stably solvable groups”, Math. USSR-Izv., 3:4 (1969), 723–736
Citation in format AMSBIB
\Bibitem{Zai69}
\by D.~I.~Zaitsev
\paper Stably solvable groups
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 4
\pages 723--736
\mathnet{http://mi.mathnet.ru/eng/im2181}
\crossref{https://doi.org/10.1070/IM1969v003n04ABEH000799}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=255695}
\zmath{https://zbmath.org/?q=an:0192.34903|0213.30102}
Linking options:
  • https://www.mathnet.ru/eng/im2181
  • https://doi.org/10.1070/IM1969v003n04ABEH000799
  • https://www.mathnet.ru/eng/im/v33/i4/p765
  • This publication is cited in the following 4 articles:
    1. Martyn R. Dixon, Leonid A. Kurdachenko, Aleksandr A. Pypka, Igor Ya. Subbotin, “Groups satisfying certain rank conditions”, Algebra Discrete Math., 22:2 (2016), 184–200  mathnet  mathscinet
    2. Ah. Arikan, Ayn. Arikan, N. Trabelsi, “Zaitsev-type results”, Algebra and Logic, 53:2 (2014), 87–101  mathnet  crossref  mathscinet  isi
    3. Vladimir V. Kirichenko, Leonid A. Kurdachenko, Javier Otal, Igor Ya. Subbotin, “On the contribution of D.I. Zaitsev to the Theory of Infinite Groups”, Algebra Discrete Math., 13:1 (2012), 59–91  mathnet  mathscinet  zmath
    4. L. S. Kazarin, L. A. Kurdachenko, “Finiteness conditions and factorizations in infinite groups”, Russian Math. Surveys, 47:3 (1992), 81–126  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:307
    Russian version PDF:86
    English version PDF:16
    References:69
    First page:1
     
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